Question

3699 when divided by a certain number
gives 231 as the quotient and 3 as the
remainder. Find the number.
give step

Answer 1

Let the dividend be a divisor be b, quotient be c, and the remainder is d.

According to the Division Algorithm, a = bq + r

Here, a = 3699

q = 231

r = 3

b =?

Substituting the values in the Division Algorithm

3699 = 231b + 3

231b = 3699 - 3 = 3696

b = 3696 ÷ 231 = 16

So, our divisor is 16.